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<b>An Object Oriented Finite Element Library</b></font></p>
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<div class="header">
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<div class="title">LocalMatrix&lt; T_, NR_, NC_ &gt; Class Template Reference<div class="ingroups"><a class="el" href="group__OFELI.html">OFELI</a><a class="el" href="group__OFELI.html">OFELI</a> &raquo;  &#124; <a class="el" href="group__VectMat.html">Vector and Matrix</a></div></div>  </div>
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<p>Handles small size matrices like element matrices, with a priori known size.  
 <a href="classOFELI_1_1LocalMatrix.html#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:ae511bf7ee40a4adcdcf3249d9f3df433"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ae511bf7ee40a4adcdcf3249d9f3df433">LocalMatrix</a> ()</td></tr>
<tr class="memdesc:ae511bf7ee40a4adcdcf3249d9f3df433"><td class="mdescLeft">&#160;</td><td class="mdescRight">Default constructor.  <a href="#ae511bf7ee40a4adcdcf3249d9f3df433">More...</a><br /></td></tr>
<tr class="separator:ae511bf7ee40a4adcdcf3249d9f3df433"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0a06da48de740f65eae20ace93eb04b7"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0a06da48de740f65eae20ace93eb04b7"></a>
&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a0a06da48de740f65eae20ace93eb04b7">LocalMatrix</a> (const <a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;m)</td></tr>
<tr class="memdesc:a0a06da48de740f65eae20ace93eb04b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy constructor. <br /></td></tr>
<tr class="separator:a0a06da48de740f65eae20ace93eb04b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa34f7e3779ad9b899f62dcfac341641f"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#aa34f7e3779ad9b899f62dcfac341641f">LocalMatrix</a> (<a class="el" href="classOFELI_1_1Element.html">Element</a> *el, const <a class="el" href="classOFELI_1_1SpMatrix.html">SpMatrix</a>&lt; T_ &gt; &amp;a)</td></tr>
<tr class="memdesc:aa34f7e3779ad9b899f62dcfac341641f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor of a local matrix associated to element from a <a class="el" href="classOFELI_1_1SpMatrix.html" title="To handle matrices in sparse storage format. ">SpMatrix</a>.  <a href="#aa34f7e3779ad9b899f62dcfac341641f">More...</a><br /></td></tr>
<tr class="separator:aa34f7e3779ad9b899f62dcfac341641f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abb9d1f75f5c13663fd12b100e8ed28ae"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#abb9d1f75f5c13663fd12b100e8ed28ae">LocalMatrix</a> (<a class="el" href="classOFELI_1_1Element.html">Element</a> *el, const <a class="el" href="classOFELI_1_1SkMatrix.html">SkMatrix</a>&lt; T_ &gt; &amp;a)</td></tr>
<tr class="memdesc:abb9d1f75f5c13663fd12b100e8ed28ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor of a local matrix associated to element from a <a class="el" href="classOFELI_1_1SkMatrix.html" title="To handle square matrices in skyline storage format. ">SkMatrix</a>.  <a href="#abb9d1f75f5c13663fd12b100e8ed28ae">More...</a><br /></td></tr>
<tr class="separator:abb9d1f75f5c13663fd12b100e8ed28ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad2cb938de19b7469fa59e568cb282a47"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ad2cb938de19b7469fa59e568cb282a47">LocalMatrix</a> (<a class="el" href="classOFELI_1_1Element.html">Element</a> *el, const <a class="el" href="classOFELI_1_1SkSMatrix.html">SkSMatrix</a>&lt; T_ &gt; &amp;a)</td></tr>
<tr class="memdesc:ad2cb938de19b7469fa59e568cb282a47"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor of a local matrix associated to element from a <a class="el" href="classOFELI_1_1SkSMatrix.html" title="To handle symmetric matrices in skyline storage format. ">SkSMatrix</a>.  <a href="#ad2cb938de19b7469fa59e568cb282a47">More...</a><br /></td></tr>
<tr class="separator:ad2cb938de19b7469fa59e568cb282a47"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af6fd3022afda52421affb40a572ae5aa"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af6fd3022afda52421affb40a572ae5aa"></a>
&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#af6fd3022afda52421affb40a572ae5aa">~LocalMatrix</a> ()</td></tr>
<tr class="memdesc:af6fd3022afda52421affb40a572ae5aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Destructor. <br /></td></tr>
<tr class="separator:af6fd3022afda52421affb40a572ae5aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a906d09665a54a68d6333925dc83c57c8"><td class="memItemLeft" align="right" valign="top">T_ &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a906d09665a54a68d6333925dc83c57c8">operator()</a> (size_t i, size_t j)</td></tr>
<tr class="memdesc:a906d09665a54a68d6333925dc83c57c8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>()</code> (Non constant version)  <a href="#a906d09665a54a68d6333925dc83c57c8">More...</a><br /></td></tr>
<tr class="separator:a906d09665a54a68d6333925dc83c57c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af4d11677b77c61b1c2530c0295d9a966"><td class="memItemLeft" align="right" valign="top">T_&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#af4d11677b77c61b1c2530c0295d9a966">operator()</a> (size_t i, size_t j) const </td></tr>
<tr class="memdesc:af4d11677b77c61b1c2530c0295d9a966"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>()</code> (Constant version)  <a href="#af4d11677b77c61b1c2530c0295d9a966">More...</a><br /></td></tr>
<tr class="separator:af4d11677b77c61b1c2530c0295d9a966"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a973308a6a705de35ca267f14425b5065"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a973308a6a705de35ca267f14425b5065">Localize</a> (<a class="el" href="classOFELI_1_1Element.html">Element</a> *el, const <a class="el" href="classOFELI_1_1SpMatrix.html">SpMatrix</a>&lt; T_ &gt; &amp;a)</td></tr>
<tr class="memdesc:a973308a6a705de35ca267f14425b5065"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize matrix as element matrix from global <a class="el" href="classOFELI_1_1SpMatrix.html" title="To handle matrices in sparse storage format. ">SpMatrix</a>.  <a href="#a973308a6a705de35ca267f14425b5065">More...</a><br /></td></tr>
<tr class="separator:a973308a6a705de35ca267f14425b5065"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6ce75277fd6ac735ef98c777ab103b83"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a6ce75277fd6ac735ef98c777ab103b83">Localize</a> (<a class="el" href="classOFELI_1_1Element.html">Element</a> *el, const <a class="el" href="classOFELI_1_1SkMatrix.html">SkMatrix</a>&lt; T_ &gt; &amp;a)</td></tr>
<tr class="memdesc:a6ce75277fd6ac735ef98c777ab103b83"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize matrix as element matrix from global <a class="el" href="classOFELI_1_1SkMatrix.html" title="To handle square matrices in skyline storage format. ">SkMatrix</a>.  <a href="#a6ce75277fd6ac735ef98c777ab103b83">More...</a><br /></td></tr>
<tr class="separator:a6ce75277fd6ac735ef98c777ab103b83"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa3f5f8b8cd842744892bdf60da1ffaba"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#aa3f5f8b8cd842744892bdf60da1ffaba">Localize</a> (<a class="el" href="classOFELI_1_1Element.html">Element</a> *el, const <a class="el" href="classOFELI_1_1SkSMatrix.html">SkSMatrix</a>&lt; T_ &gt; &amp;a)</td></tr>
<tr class="memdesc:aa3f5f8b8cd842744892bdf60da1ffaba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize matrix as element matrix from global <a class="el" href="classOFELI_1_1SkSMatrix.html" title="To handle symmetric matrices in skyline storage format. ">SkSMatrix</a>.  <a href="#aa3f5f8b8cd842744892bdf60da1ffaba">More...</a><br /></td></tr>
<tr class="separator:aa3f5f8b8cd842744892bdf60da1ffaba"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad437fb1971e9a9212145f548632ff99c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ad437fb1971e9a9212145f548632ff99c">operator=</a> (const <a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;m)</td></tr>
<tr class="memdesc:ad437fb1971e9a9212145f548632ff99c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>=</code>  <a href="#ad437fb1971e9a9212145f548632ff99c">More...</a><br /></td></tr>
<tr class="separator:ad437fb1971e9a9212145f548632ff99c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa7bbe653bb62b28a325d2fd4f7c4f2b5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#aa7bbe653bb62b28a325d2fd4f7c4f2b5">operator=</a> (const T_ &amp;x)</td></tr>
<tr class="memdesc:aa7bbe653bb62b28a325d2fd4f7c4f2b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>=</code>  <a href="#aa7bbe653bb62b28a325d2fd4f7c4f2b5">More...</a><br /></td></tr>
<tr class="separator:aa7bbe653bb62b28a325d2fd4f7c4f2b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a939aa1612e87750e7ce03f79dfed707d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a939aa1612e87750e7ce03f79dfed707d">operator+=</a> (const <a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;m)</td></tr>
<tr class="memdesc:a939aa1612e87750e7ce03f79dfed707d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>+=</code>  <a href="#a939aa1612e87750e7ce03f79dfed707d">More...</a><br /></td></tr>
<tr class="separator:a939aa1612e87750e7ce03f79dfed707d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad1beccf090a3ce7d962e0198db4ccbd9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ad1beccf090a3ce7d962e0198db4ccbd9">operator-=</a> (const <a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;m)</td></tr>
<tr class="memdesc:ad1beccf090a3ce7d962e0198db4ccbd9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>-=</code>  <a href="#ad1beccf090a3ce7d962e0198db4ccbd9">More...</a><br /></td></tr>
<tr class="separator:ad1beccf090a3ce7d962e0198db4ccbd9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a723cda4c9d9ae117c833333fd62a83b4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a723cda4c9d9ae117c833333fd62a83b4">operator*</a> (<a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;x)</td></tr>
<tr class="memdesc:a723cda4c9d9ae117c833333fd62a83b4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>*</code>  <a href="#a723cda4c9d9ae117c833333fd62a83b4">More...</a><br /></td></tr>
<tr class="separator:a723cda4c9d9ae117c833333fd62a83b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad71abed3605ba9ec57dee16bb1128e00"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ad71abed3605ba9ec57dee16bb1128e00">operator+=</a> (const T_ &amp;x)</td></tr>
<tr class="memdesc:ad71abed3605ba9ec57dee16bb1128e00"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>+=</code>  <a href="#ad71abed3605ba9ec57dee16bb1128e00">More...</a><br /></td></tr>
<tr class="separator:ad71abed3605ba9ec57dee16bb1128e00"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3f042d1408ad4ee01538abbd9d3ebccd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a3f042d1408ad4ee01538abbd9d3ebccd">operator-=</a> (const T_ &amp;x)</td></tr>
<tr class="memdesc:a3f042d1408ad4ee01538abbd9d3ebccd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>-=</code>  <a href="#a3f042d1408ad4ee01538abbd9d3ebccd">More...</a><br /></td></tr>
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<tr class="memitem:a59a4dbdc0bb618f8edffcf5fd2928297"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a59a4dbdc0bb618f8edffcf5fd2928297">operator*=</a> (const T_ &amp;x)</td></tr>
<tr class="memdesc:a59a4dbdc0bb618f8edffcf5fd2928297"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>*=</code>  <a href="#a59a4dbdc0bb618f8edffcf5fd2928297">More...</a><br /></td></tr>
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<tr class="memitem:acf89235c6745467d036148ac51bbd3da"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#acf89235c6745467d036148ac51bbd3da">operator/=</a> (const T_ &amp;x)</td></tr>
<tr class="memdesc:acf89235c6745467d036148ac51bbd3da"><td class="mdescLeft">&#160;</td><td class="mdescRight">Operator <code>/=</code>  <a href="#acf89235c6745467d036148ac51bbd3da">More...</a><br /></td></tr>
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<tr class="memitem:a2a8270d9a09399bd385342ffb46de98f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a2a8270d9a09399bd385342ffb46de98f">MultAdd</a> (const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;x, <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;y)</td></tr>
<tr class="memdesc:a2a8270d9a09399bd385342ffb46de98f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply matrix by vector and add result to vector.  <a href="#a2a8270d9a09399bd385342ffb46de98f">More...</a><br /></td></tr>
<tr class="separator:a2a8270d9a09399bd385342ffb46de98f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad886d306aa647b0efb0f4d0ea822db5b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ad886d306aa647b0efb0f4d0ea822db5b">MultAddScal</a> (const T_ &amp;a, const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;x, <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;y)</td></tr>
<tr class="memdesc:ad886d306aa647b0efb0f4d0ea822db5b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply matrix by scaled vector and add result to vector.  <a href="#ad886d306aa647b0efb0f4d0ea822db5b">More...</a><br /></td></tr>
<tr class="separator:ad886d306aa647b0efb0f4d0ea822db5b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaea17e2a1f8ab47100e2e74cd1829ecb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#aaea17e2a1f8ab47100e2e74cd1829ecb">Mult</a> (const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;x, <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;y)</td></tr>
<tr class="memdesc:aaea17e2a1f8ab47100e2e74cd1829ecb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiply matrix by vector.  <a href="#aaea17e2a1f8ab47100e2e74cd1829ecb">More...</a><br /></td></tr>
<tr class="separator:aaea17e2a1f8ab47100e2e74cd1829ecb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad1dc6c225dae96f6c5f8f91e5462c645"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ad1dc6c225dae96f6c5f8f91e5462c645">Symmetrize</a> ()</td></tr>
<tr class="memdesc:ad1dc6c225dae96f6c5f8f91e5462c645"><td class="mdescLeft">&#160;</td><td class="mdescRight">Symmetrize matrix.  <a href="#ad1dc6c225dae96f6c5f8f91e5462c645">More...</a><br /></td></tr>
<tr class="separator:ad1dc6c225dae96f6c5f8f91e5462c645"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1e2d4ab2fe26e23da6138707672c9b2e"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a1e2d4ab2fe26e23da6138707672c9b2e">Factor</a> ()</td></tr>
<tr class="memdesc:a1e2d4ab2fe26e23da6138707672c9b2e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Factorize matrix.  <a href="#a1e2d4ab2fe26e23da6138707672c9b2e">More...</a><br /></td></tr>
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<tr class="memitem:a0773eac6bcb89403499abd73077d88e9"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#a0773eac6bcb89403499abd73077d88e9">solve</a> (<a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;<a class="el" href="group__OFELI.html#gaf5cd2eaaceda19772fd904539819158c">b</a>)</td></tr>
<tr class="memdesc:a0773eac6bcb89403499abd73077d88e9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Forward and backsubstitute to solve a linear system.  <a href="#a0773eac6bcb89403499abd73077d88e9">More...</a><br /></td></tr>
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<tr class="memitem:aea982c95525a789d4a1a75fcd65c6416"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#aea982c95525a789d4a1a75fcd65c6416">FactorAndSolve</a> (<a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;<a class="el" href="group__OFELI.html#gaf5cd2eaaceda19772fd904539819158c">b</a>)</td></tr>
<tr class="memdesc:aea982c95525a789d4a1a75fcd65c6416"><td class="mdescLeft">&#160;</td><td class="mdescRight">Factorize matrix and solve linear system.  <a href="#aea982c95525a789d4a1a75fcd65c6416">More...</a><br /></td></tr>
<tr class="separator:aea982c95525a789d4a1a75fcd65c6416"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac58eba05d5c019b53fe471dd18062164"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ac58eba05d5c019b53fe471dd18062164">Invert</a> (<a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;<a class="el" href="group__OFELI.html#ga8d83ae0344b0fbb3265762cd97e1b1db">A</a>)</td></tr>
<tr class="memdesc:ac58eba05d5c019b53fe471dd18062164"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate inverse of matrix.  <a href="#ac58eba05d5c019b53fe471dd18062164">More...</a><br /></td></tr>
<tr class="separator:ac58eba05d5c019b53fe471dd18062164"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abde3760a500a9c82087a5b03240a7b87"><td class="memItemLeft" align="right" valign="top">T_&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#abde3760a500a9c82087a5b03240a7b87">getInnerProduct</a> (const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;x, const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;y)</td></tr>
<tr class="memdesc:abde3760a500a9c82087a5b03240a7b87"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate inner product witrh respect to matrix.  <a href="#abde3760a500a9c82087a5b03240a7b87">More...</a><br /></td></tr>
<tr class="separator:abde3760a500a9c82087a5b03240a7b87"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae475850483be3525afff2d0df830dc0b"><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ae475850483be3525afff2d0df830dc0b"></a>
T_ *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classOFELI_1_1LocalMatrix.html#ae475850483be3525afff2d0df830dc0b">get</a> ()</td></tr>
<tr class="memdesc:ae475850483be3525afff2d0df830dc0b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return pointer to matrix as a C-array. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;class T_, size_t NR_, size_t NC_&gt;<br />
class OFELI::LocalMatrix&lt; T_, NR_, NC_ &gt;</h3>

<p>Handles small size matrices like element matrices, with a priori known size. </p>
<p>The template class <a class="el" href="classOFELI_1_1LocalMatrix.html" title="Handles small size matrices like element matrices, with a priori known size. ">LocalMatrix</a> treats small size matrices. Typically, this class is recommended to store element and side arrays.<br />
Internally, no dynamic storage is used.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T_</td><td>Data type (double, float, complex&lt;double&gt;, ...) </td></tr>
    <tr><td class="paramname">NR_</td><td>number of rows of matrix </td></tr>
    <tr><td class="paramname">NC_</td><td>number of columns of matrix</td></tr>
  </table>
  </dd>
</dl>
<dl class="section author"><dt>Author</dt><dd>Rachid Touzani </dd></dl>
<dl class="section copyright"><dt>Copyright</dt><dd>GNU Lesser Public License </dd></dl>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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          <td>(</td>
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<p>Default constructor. </p>
<p>Constructs a matrix with <code>0</code> rows and <code>0</code> columns </p>

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          <td>(</td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1Element.html">Element</a> *&#160;</td>
          <td class="paramname"><em>el</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1SpMatrix.html">SpMatrix</a>&lt; T_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>a</em>&#160;</td>
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<p>Constructor of a local matrix associated to element from a <a class="el" href="classOFELI_1_1SpMatrix.html" title="To handle matrices in sparse storage format. ">SpMatrix</a>. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">el</td><td>Pointer to <a class="el" href="classOFELI_1_1Element.html" title="To store and treat finite element geometric information. ">Element</a> </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Global matrix as instance of class <a class="el" href="classOFELI_1_1SpMatrix.html" title="To handle matrices in sparse storage format. ">SpMatrix</a>. </td></tr>
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</dl>

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          <td>(</td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1Element.html">Element</a> *&#160;</td>
          <td class="paramname"><em>el</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">const <a class="el" href="classOFELI_1_1SkMatrix.html">SkMatrix</a>&lt; T_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>a</em>&#160;</td>
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<p>Constructor of a local matrix associated to element from a <a class="el" href="classOFELI_1_1SkMatrix.html" title="To handle square matrices in skyline storage format. ">SkMatrix</a>. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">el</td><td>Pointer to <a class="el" href="classOFELI_1_1Element.html" title="To store and treat finite element geometric information. ">Element</a> </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Global matrix as instance of class <a class="el" href="classOFELI_1_1SkMatrix.html" title="To handle square matrices in skyline storage format. ">SkMatrix</a>. </td></tr>
  </table>
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</dl>

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          <td>(</td>
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          <td class="paramname"><em>el</em>, </td>
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          <td class="paramtype">const <a class="el" href="classOFELI_1_1SkSMatrix.html">SkSMatrix</a>&lt; T_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>a</em>&#160;</td>
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<p>Constructor of a local matrix associated to element from a <a class="el" href="classOFELI_1_1SkSMatrix.html" title="To handle symmetric matrices in skyline storage format. ">SkSMatrix</a>. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">el</td><td>Pointer to <a class="el" href="classOFELI_1_1Element.html" title="To store and treat finite element geometric information. ">Element</a> </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Global matrix as instance of class <a class="el" href="classOFELI_1_1SkSMatrix.html" title="To handle symmetric matrices in skyline storage format. ">SkSMatrix</a>. </td></tr>
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  </dd>
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<h2 class="groupheader">Member Function Documentation</h2>
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          <td>(</td>
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          <td class="paramname"><em>i</em>, </td>
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          <td class="paramtype">size_t&#160;</td>
          <td class="paramname"><em>j</em>&#160;</td>
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<p>Operator <code>()</code> (Non constant version) </p>
<p>Returns entry at row <code>i</code> and column <code>j</code>. </p>

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          <td class="memname">T_ operator() </td>
          <td>(</td>
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          <td class="paramname"><em>i</em>, </td>
        </tr>
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          <td class="paramtype">size_t&#160;</td>
          <td class="paramname"><em>j</em>&#160;</td>
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          <td>)</td>
          <td></td><td> const</td>
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<p>Operator <code>()</code> (Constant version) </p>
<p>Returns entry at row <code>i</code> and column <code>j</code>. </p>

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          <td class="memname">void Localize </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1Element.html">Element</a> *&#160;</td>
          <td class="paramname"><em>el</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1SpMatrix.html">SpMatrix</a>&lt; T_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>a</em>&#160;</td>
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<p>Initialize matrix as element matrix from global <a class="el" href="classOFELI_1_1SpMatrix.html" title="To handle matrices in sparse storage format. ">SpMatrix</a>. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">el</td><td>Pointer to <a class="el" href="classOFELI_1_1Element.html" title="To store and treat finite element geometric information. ">Element</a> </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Global matrix as instance of class <a class="el" href="classOFELI_1_1SpMatrix.html" title="To handle matrices in sparse storage format. ">SpMatrix</a>. This function is called by its corresponding constructor. </td></tr>
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  </dd>
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          <td class="memname">void Localize </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1Element.html">Element</a> *&#160;</td>
          <td class="paramname"><em>el</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1SkMatrix.html">SkMatrix</a>&lt; T_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>a</em>&#160;</td>
        </tr>
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          <td></td>
          <td>)</td>
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<p>Initialize matrix as element matrix from global <a class="el" href="classOFELI_1_1SkMatrix.html" title="To handle square matrices in skyline storage format. ">SkMatrix</a>. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">el</td><td>Pointer to <a class="el" href="classOFELI_1_1Element.html" title="To store and treat finite element geometric information. ">Element</a> </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Global matrix as instance of class <a class="el" href="classOFELI_1_1SkMatrix.html" title="To handle square matrices in skyline storage format. ">SkMatrix</a>. This function is called by its corresponding constructor. </td></tr>
  </table>
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          <td class="memname">void Localize </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1Element.html">Element</a> *&#160;</td>
          <td class="paramname"><em>el</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1SkSMatrix.html">SkSMatrix</a>&lt; T_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>a</em>&#160;</td>
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          <td></td>
          <td>)</td>
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<p>Initialize matrix as element matrix from global <a class="el" href="classOFELI_1_1SkSMatrix.html" title="To handle symmetric matrices in skyline storage format. ">SkSMatrix</a>. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">el</td><td>Pointer to <a class="el" href="classOFELI_1_1Element.html" title="To store and treat finite element geometric information. ">Element</a> </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Global matrix as instance of class <a class="el" href="classOFELI_1_1SkSMatrix.html" title="To handle symmetric matrices in skyline storage format. ">SkSMatrix</a>. This function is called by its corresponding constructor. </td></tr>
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          <td class="paramtype">const <a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td>
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<p>Operator <code>=</code> </p>
<p>Copy instance <code>m</code> into current instance. </p>

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<p>Operator <code>=</code> </p>
<p>Assign matrix to identity times <code>x</code> </p>

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<p>Operator <code>+=</code> </p>
<p>Add <code>m</code> to current matrix. </p>

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<p>Operator <code>-=</code> </p>
<p>Subtract <code>m</code> from current matrix. </p>

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          <td class="paramtype"><a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;&#160;</td>
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<p>Operator <code>*</code> </p>
<p>Return a <a class="el" href="classOFELI_1_1Vect.html" title="To handle general purpose vectors. ">Vect</a> instance as product of current matrix by vector <code>x</code>. </p>

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<p>Operator <code>+=</code> </p>
<p>Add constant <code>x</code> to current matrix entries. </p>

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<p>Operator <code>-=</code> </p>
<p>Subtract <code>x</code> from current matrix entries. </p>

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<p>Operator <code>*=</code> </p>
<p>Multiply matrix entries by constant <code>x</code>. </p>

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<p>Operator <code>/=</code> </p>
<p>Divide by <code>x</code> current matrix entries. </p>

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          <td class="memname">void MultAdd </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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<p>Multiply matrix by vector and add result to vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Vector to multiply matrix by. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">y</td><td>Resulting vector (<code>y += a * x</code>) </td></tr>
  </table>
  </dd>
</dl>

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          <td class="memname">void MultAddScal </td>
          <td>(</td>
          <td class="paramtype">const T_ &amp;&#160;</td>
          <td class="paramname"><em>a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
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          <td class="paramkey"></td>
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          <td class="paramtype"><a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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<p>Multiply matrix by scaled vector and add result to vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>Constant to premultiply by vector <code>x</code>. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>(Scaled) vector to multiply matrix by. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">y</td><td>Resulting vector (<code>y += a * x</code>) </td></tr>
  </table>
  </dd>
</dl>

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          <td class="memname">void Mult </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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<p>Multiply matrix by vector. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Vector to multiply matrix by. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">y</td><td>Resulting vector. </td></tr>
  </table>
  </dd>
</dl>

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          <td class="memname">void Symmetrize </td>
          <td>(</td>
          <td class="paramname"></td><td>)</td>
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<p>Symmetrize matrix. </p>
<p>Fill upper triangle to form a symmetric matrix. </p>

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<p>Factorize matrix. </p>
<p>Performs a LU factorization. </p><dl class="section return"><dt>Returns</dt><dd><ul>
<li>
<code>0</code>: Factorization has ended normally, </li>
<li>
<code>n</code>: <code>n</code>-th pivot was zero. </li>
</ul>
</dd></dl>

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          <td class="memname">int solve </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>b</em></td><td>)</td>
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<p>Forward and backsubstitute to solve a linear system. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>Right-hand side in input and solution vector in output. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><ul>
<li>
<code>0</code>: Solution was performed normally. </li>
<li>
<code>n</code>: <code>n</code>-th pivot is zero. </li>
</ul>
</dd></dl>
<dl class="section note"><dt>Note</dt><dd>Matrix must have been factorized at first. </dd></dl>

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          <td>(</td>
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          <td class="paramname"><em>b</em></td><td>)</td>
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<p>Factorize matrix and solve linear system. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in,out]</td><td class="paramname">b</td><td>Right-hand side in input and solution vector in output. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>0</code> if solution was performed normally. <code>n</code> if <code>n</code>-th pivot is zero. This function simply calls <b><a class="el" href="classOFELI_1_1LocalMatrix.html#a1e2d4ab2fe26e23da6138707672c9b2e" title="Factorize matrix. ">Factor()</a></b> then <b>Solve(b)</b>. </dd></dl>

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          <td class="memname">void Invert </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classOFELI_1_1LocalMatrix.html">LocalMatrix</a>&lt; T_, NR_, NC_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>A</em></td><td>)</td>
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<p>Calculate inverse of matrix. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[out]</td><td class="paramname">A</td><td>Inverse of matrix </td></tr>
  </table>
  </dd>
</dl>

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          <td class="memname">T_ getInnerProduct </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NC_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const <a class="el" href="classOFELI_1_1LocalVect.html">LocalVect</a>&lt; T_, NR_ &gt; &amp;&#160;</td>
          <td class="paramname"><em>y</em>&#160;</td>
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<p>Calculate inner product witrh respect to matrix. </p>
<p>Returns the product <code>x<sup>T</sup>Ay</code> </p><dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Left vector </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>Right vector </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Resulting product </dd></dl>

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